摘要
本文分析了极小子群半正规的有限群,通过对有限群G的阶的素因子分情况讨论,应用极小反例法与内p-幂零群的结构相结合,给出了有限群是p-幂零的几个条件。
This paper analyses finite groups whose minimal subgroups are semi-normal. By discussing the prime factors of the order of finite groups and combining the minimal counter-example with the structure of inner p-nilpotent groups,we give some conditions that finite groups are p-nilpotent groups.
出处
《长春师范大学学报》
2017年第10期4-5,10,共3页
Journal of Changchun Normal University
关键词
半正规子群
P-幂零群
p阶子群
semi - normal subgroups
p - nilpotent groups
subgroups of order p
